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Finding the Fourth Proportional to 429,782.67, 644,673.30 and 114,239.58

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Solution

The fourth proportional to 429,782.67, 644,673.30 and 114,239.58 is: 171,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,782.67 : 644,673.30 = 114,239.58 : x
  2. Step 2: Convert to fraction form
    429,782.67/644,673.30 = 114,239.58/x
  3. Step 3: Cross multiply
    429,782.67x = 644,673.30 × 114,239.58
  4. Step 4: Simplify right side
    429,782.67x = 73,647,207,029.21
  5. Step 5: Solve for x
    x = 73,647,207,029.21/429,782.67
  6. Step 6: Final answer
    x = 171,359.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.